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Popular >

simplify log_{10}(5/1000)

Solution

simplify

lo g_{10} (\frac{5}{1000})

Solution

lo g_{10} (5) - 3

+1

Decimal Notation

- 2.30102 \dots

Solution steps

lo g_{10} (\frac{5}{1000})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{5}{1000}) = lo g_{10} (5) - lo g_{10} (1000)

= lo g_{10} (5) - lo g_{10} (1000)

lo g_{10} (1000) = 3

= lo g_{10} (5) - 3

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Frequently Asked Questions (FAQ)

What is log_{10}(5/1000) ?
The solution to log_{10}(5/1000) is log_{10}(5)-3